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Home/Chain Registry/Block #617,917

Block #617,917

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 7/5/2014, 9:06:44 AM Β· Difficulty 10.9466 Β· 6,209,328 confirmations

1CC
Cunningham Chain of the First Kind

A sequence where each prime is double the previous prime plus one.

Block Header
Block Hash
d061d511243bdc256a4a1e61e644a371652dbf28ee198e1da5edfa3e2e950cc2
View on Chainz β†—

Height

#617,917

Difficulty

10.946601

Transactions

1

Size

207 B

Version

2

Bits

0af25473

Nonce

2,789,692,136

Timestamp

7/5/2014, 9:06:44 AM

Confirmations

6,209,328

Merkle Root

57d9ae23642320280eb56e6d926b91740488b6d6039e137d3fe15e00e4d453cc
Transactions (1)
Coinbase57d9ae23642320…e15e00e4d453cc
1 in β†’ 1 out8.3300 XPM116 B
ANSXnLY2…Sd25TjkD
Prime Chain Origin

This is the prime chain origin stored in the block header. It is a composite number (not prime itself) β€” it equals the first prime in the chain multiplied by a primorial. The origin anchors the entire chain to this specific block.

2.265 Γ— 10⁹⁷(98-digit number)
22655210183584159636…65278594201655582720
Discovered Prime Numbers
p_k = 2^k Γ— origin βˆ’ 1

These are the actual prime numbers discovered by this block, computed using the verified Primecoin formula. Each number has been independently confirmed to pass the Fermat primality test. Use the FactorDB links to verify any number independently.

1
origin βˆ’ 1
2.265 Γ— 10⁹⁷(98-digit number)
22655210183584159636…65278594201655582719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
4.531 Γ— 10⁹⁷(98-digit number)
45310420367168319272…30557188403311165439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
9.062 Γ— 10⁹⁷(98-digit number)
90620840734336638544…61114376806622330879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.812 Γ— 10⁹⁸(99-digit number)
18124168146867327708…22228753613244661759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
3.624 Γ— 10⁹⁸(99-digit number)
36248336293734655417…44457507226489323519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
7.249 Γ— 10⁹⁸(99-digit number)
72496672587469310835…88915014452978647039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.449 Γ— 10⁹⁹(100-digit number)
14499334517493862167…77830028905957294079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
2.899 Γ— 10⁹⁹(100-digit number)
28998669034987724334…55660057811914588159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
5.799 Γ— 10⁹⁹(100-digit number)
57997338069975448668…11320115623829176319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.159 Γ— 10¹⁰⁰(101-digit number)
11599467613995089733…22640231247658352639
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 10 consecutive prime numbers forming a Cunningham Chain of the First Kind. The prime chain origin β€” the large number shown above β€” anchors the chain and is divisible by a primorial (the product of small primes), cryptographically tying these prime numbers to this specific block.

View full Prime Chain Discovery page β†’
β˜…β˜…β˜†β˜†β˜†
Rarity
UncommonChain length 10
How Primecoin's Proof-of-Work Constructs These Primes

Primecoin stores a value called the prime chain origin in each block. The miner found a large integer such that when divided by a primorial (the product of small primes: 2 Γ— 3 Γ— 5 Γ— 7 Γ— …), the result is the first prime in the chain. The origin is deliberately divisible by this primorial β€” that divisibility is part of the proof.

Prime Chain Origin = First Prime Γ— Primorial (2Β·3Β·5Β·7Β·11·…)
Source: Primecoin prime.cpp β€” CheckPrimeProofOfWork()

This is why the origin has many small prime factors β€” those factors are the primorial divisor. The chain then extends from the first prime using the 1CC formula:

1CC: p₁ (first prime), pβ‚‚ = 2p₁ + 1, p₃ = 2pβ‚‚ + 1, …
Verify on a Primecoin Node

Anyone running a Primecoin node can independently verify this block using the following RPC commands. Run these from the primecoin-cli command line or via the debug console in the Primecoin wallet.

1. Get block hash by height
getblockhash 617917

Returns the block hash for a given block height. Use this to confirm the hash shown above matches the chain.

2. Get full block data
getblock d061d511243bdc256a4a1e61e644a371652dbf28ee198e1da5edfa3e2e950cc2

Returns the full block header including difficulty, prime chain origin, prime chain type, transaction IDs, and all other fields shown on this page.

How to run these commands: To verify this data independently, open a terminal on your own Primecoin node and run primecoin-cli <command>. Alternatively, open the Primecoin-Qt wallet, go to Help β†’ Debug Window β†’ Console, and type the command directly. The node must be fully synced to this block height for the commands to return results.

Cross-reference on Chainz Explorer

Chainz is an independent Primecoin block explorer. Compare this block's data to verify accuracy.

View Block #617,917 on Chainz β†—
Circulating Supply:57,862,062 XPMΒ·at block #6,827,244 Β· updates every 60s
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